NONEXISTENCE RESULTS FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL INEQUALITIES INVOLVING ERDÉLYI–KOBER FRACTIONAL DERIVATIVES

Ibtehal Alazman, Mohamed Jleli and Bessem Samet
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Ibtehal Alazman: Department of Mathematics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia
Mohamed Jleli: ��Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
Bessem Samet: ��Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-8

Abstract: A class of Erdélyi–Kober fractional differential inequalities with a polynomial nonlinearity and a singular potential function is investigated in this paper. By mean of the test function method, we establish sufficient conditions for the nonexistence of global weak solutions. Some examples are provided to illustrate our obtained results. To the best of our knowledge, the issue of nonexistence of global solutions for fractional differential equations or inequalities, involving Erdélyi–Kober fractional derivatives, was never addressed in the literature.

Keywords: Nonlinear Fractional Differential Inequalities; Erdélyi–Kober Fractional Derivative; Global Weak Solution; Nonexistence (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401971

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